On eigenvalues on the orbit space

DOI10.1016/S0022-4049(00)00023-2zbMath1018.37032OpenAlexW2038324313MaRDI QIDQ5931466

Matthias Rumberger

Publication date: 28 June 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00023-2

zbMATH Keywords

eigenvaluesasymptotic stabilityequilibriumreductive groupsinvariant orbit

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Cites Work

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• The geometry of spontaneous symmetry breaking
• Inequalities defining orbit spaces
• Universality in orbit spaces of compact linear groups
• Smooth functions invariant under the action of a compact Lie group
• Lifting isotopies from orbit spaces
• Differentiable invariants
• Finitely differentiable invariants
• Generalized heteroclinic cycles in spherically invariant systems and their perturbations
• Bifurcation analysis for spherically symmetric systems using invariant theory
• Differenzierbare G-Mannigfaltigkeiten
• Forced reflectional symmetry breaking of an O(2)-symmetric homoclinic cycle
• Equivariant Dynamical Systems
• Linearization of vector fields on the orbit space of the action of a compact Lie group
• Le théorème de Hartman-Grobman et la réduction à l'espace des orbites

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